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Convex language semantics for nondeterministic probabilistic automata

Abstract:
We explore language semantics for automata combining probabilistic and nondeterministic behaviors. We first show that there are precisely two natural semantics for probabilistic automata with nondeterminism. For both choices, we show that these automata are strictly more expressive than deterministic probabilistic automata, and we prove that the problem of checking language equivalence is undecidable by reduction from the threshold problem. However, we provide a discounted metric that can be computed to arbitrarily high precision.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-030-02508-3_25

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Computer Science
Oxford college:
St John's College
Role:
Author


Publisher:
Springer
Journal:
Lecture Notes in Computer Science More from this journal
Volume:
11187 LNCS
Pages:
472-492
Publication date:
2018-10-15
Acceptance date:
2018-07-09
DOI:
EISSN:
1611-3349
ISSN:
0302-9743


Keywords:
Pubs id:
pubs:857998
UUID:
uuid:931052c5-4d57-4691-98b7-6d6dc190704f
Local pid:
pubs:857998
Source identifiers:
857998
Deposit date:
2019-03-21

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